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Finding the Fourth Proportional to 5,846.58, 8,769.19 and 1,463.70

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Solution

The fourth proportional to 5,846.58, 8,769.19 and 1,463.70 is: 2,195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.58 : 8,769.19 = 1,463.70 : x
  2. Step 2: Convert to fraction form
    5,846.58/8,769.19 = 1,463.70/x
  3. Step 3: Cross multiply
    5,846.58x = 8,769.19 × 1,463.70
  4. Step 4: Simplify right side
    5,846.58x = 12,835,417.27
  5. Step 5: Solve for x
    x = 12,835,417.27/5,846.58
  6. Step 6: Final answer
    x = 2,195.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.